Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 13 - Section 13.2 - Substitution - Exercises - Page 971: 8

Answer

$ 2e^{x/2}+C$

Work Step by Step

Shortcut: $\displaystyle \int e^{ax+b}dx=\frac{1}{a}e^{a\mathrm{x}+b}+C$ ------------------- $a=\displaystyle \frac{1}{2}, b=0, $ $\displaystyle \int e^{x/2}dx==\frac{1}{\frac{1}{2}}e^{\mathrm{x}/2+0}+C$ $=2e^{x/2}+C$
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